Theorem clnbgrssvtx

Description: The closed neighborhood of a vertex K in a graph is a subset of all vertices of the graph. (Contributed by AV, 9-May-2025)

	Ref	Expression
Hypothesis	clnbgrvtxel.v	$$⊢V=\mathrm{Vtx}\left(G\right)$$
Assertion	clnbgrssvtx	Could not format assertion : No typesetting found for |- ( G ClNeighbVtx K ) C_ V with typecode |-

Proof

Step	Hyp	Ref	Expression
1		clnbgrvtxel.v	$$⊢V=\mathrm{Vtx}\left(G\right)$$
2	1	clnbgrisvtx	Could not format ( n e. ( G ClNeighbVtx K ) -> n e. V ) : No typesetting found for |- ( n e. ( G ClNeighbVtx K ) -> n e. V ) with typecode |-
3	2	ssriv	Could not format ( G ClNeighbVtx K ) C_ V : No typesetting found for |- ( G ClNeighbVtx K ) C_ V with typecode |-